Quiver representations and Gorenstein-projective modules

We consider a finite acyclic quiver Q and a quasi-Frobenius ring R. We then characterise Gorenstein-projective modules over the path algebra RQ in terms of the corresponding quiver representations over R, generalizing the work of X.-H. Luo and P. Zhang to the case of not necessarily finitely generated Q-modules. The proofs are based on Model Category Theory. In particular we endow the category Rep(Q, R) of quiver representations over R with a cofibrantly generated model structure, and we recover the stable category of Gorenstein-projective R-modules as the homotopy category Ho(Rep(Q,R)).